The answer is 51°.
The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.
We also know that a triangle equals 180°. So 58+71= 129°.
So to find that missing angle we subtract 129 from 180 to get the 51°.
Answer:
a ratio is a fraction. For example the ratio 3 pigs to 9 animals can be written as 3:9 which can be written as a fraction; 3/9 which can be simplified by dividing the whole thing by three (Because that is the greatest common factor) and you would get 1/3.
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-3,4) and (5,1)
(-3,4) is in quadrant 2 and (5,1) is in quadrant 1. So think of that.
(x+8, y-3)
8 units to the right and 3 units down
Answer:
a translation up or down changes the y value of a coordinate
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.
3x +2y -6= 0
2y= -3x +6
<em>Dividing</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>
Thus gradient of given line= 
Parallel lines have the same gradient.
Thus gradient of line=
Subst. m= into the equation:
To find c, substitute a pair of coordinates.
When x=0, y=0,
Thus, the equation of the line is 
.
